Search a number
-
+
400650994800 = 2432527109145861
BaseRepresentation
bin1011101010010001010…
…10010000010001110000
31102022011001112022222100
411311020222100101300
523031013123313200
6504020113140400
740642335160020
oct5651052202160
91368131468870
10400650994800
11144a08050431
126579525a700
132ba20480074
141556a821a80
15a64db3ad00
hex5d48a90470

400650994800 has 360 divisors, whose sum is σ = 1603583490080. Its totient is φ = 90736588800.

The previous prime is 400650994771. The next prime is 400650994801. The reversal of 400650994800 is 8499056004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400650994801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2673870 + ... + 2819730.

Almost surely, 2400650994800 is an apocalyptic number.

400650994800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400650994800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801791745040).

400650994800 is an abundant number, since it is smaller than the sum of its proper divisors (1202932495280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

400650994800 is a wasteful number, since it uses less digits than its factorization.

400650994800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146001 (or 145987 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 400650994800 in words is "four hundred billion, six hundred fifty million, nine hundred ninety-four thousand, eight hundred".